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Finding the Fourth Proportional to 70,310.66, 105,538.89 and 47,099.30

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Solution

The fourth proportional to 70,310.66, 105,538.89 and 47,099.30 is: 70,697.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,310.66 : 105,538.89 = 47,099.30 : x
  2. Step 2: Convert to fraction form
    70,310.66/105,538.89 = 47,099.30/x
  3. Step 3: Cross multiply
    70,310.66x = 105,538.89 × 47,099.30
  4. Step 4: Simplify right side
    70,310.66x = 4,970,807,841.78
  5. Step 5: Solve for x
    x = 4,970,807,841.78/70,310.66
  6. Step 6: Final answer
    x = 70,697.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.